CRM Articles: Enviaments recents
Ara mostrant els elements 41-60 de 656
Periodic perturbation of a 3D conservative flow with a heteroclinic connection to saddle-foci
The 2-jet normal form of the elliptic volume-preserving Hopf-zero bifurcation provides a one- parameter family of volume-preserving vector fields with a pair of saddle-foci points whose 2-dimensional invariant manifolds ...
Cubic planar vector fields with high local cyclicity
In this paper, we present two new one-parameter families of cubic systems exhibiting twelve small-amplitude limit cycles for exceptional parameter values.
A Morphospace Exploration Using a General Model of Development Reveals a Basic Set of Morphologies for Early Animal Development and Evolution
What morphologies are more likely to appear during evolution is a central question in zoology. Here we offer a novel approach to this question based on first developmental principles. We assumed that morphogenesis results ...
Boundary dynamics in unbounded Fatou components
We study the behaviour of a transcendental entire map f : C-+ C on an unbounded invariant Fatou component U, assuming that infinity is accessible from U. It is well-known that U is simply connected. Hence, by means of a ...
Global bifurcation in a virus, defective genomes, satellite RNAs tripartite system: Breakdown of a coexistence quasi-neutral curve
The dynamics of wild-type (wt) RNA viruses and their defective viral genomes (DVGs) have been extensively studied both experimentally and theoretically. This research has paid special attention to the interference effects ...
On the role of the fast oscillations in the secular dynamics of the lunar coplanar perturbation on Galileo satellites
Motivated by the practical interest in the third-body perturbation as a natural cleaning mechanism for high-altitude Earth orbits, we investigate the dynamics stemming from the secular Hamiltonian associated with the lunar ...
Holomorphic motions, natural families of entire maps, and multiplier-like objects for wandering domains
Structural stability of holomorphic functions has been the subject of much research in the last fifty years. Due to various technicalities, however, most of that work has focused on so-called finite-type functions (functions ...
Limits of chordal graphs with bounded tree-width
We study random k-connected chordal graphs with bounded tree-width. Our main results are scaling limits and quenched local limits.
Bernstein-Sato polynomial and related invariants for meromorphic functions
We develop a theory of Bernstein-Sato polynomials for meromorphic functions. As a first application we study the poles of Archimedian local zeta functions for meromorphic germs. We also present a theory of multiplier ideals ...
The stratification by automorphism groups of smooth plane sextic curves
We obtain the list of automorphism groups for smooth plane sextic curves over an algebraically closed field K of characteristic p=0 or p>21. Moreover, we assign to each group a geometrically complete family overK that ...
Universal finite-time scaling in the transcritical, saddle-node, and pitchfork discrete and continuous bifurcations
Bifurcations are one of the most remarkable features of dynamical systems. Corral et al. [Sci. Rep. 8(11783), 2018] showed the existence of scaling laws describing the transient (finite-time) dynamics in discrete dynamical ...
A note on Hilbert 16th problem
The position of cells during development is constantly subject to noise, i.e. cell-level noise. We do not yet fully understand how cell-level noise coming from processes such as cell division or movement leads to morphological ...
Motivic congruences and Sharifi's conjecture
Let f be a cuspidal eigenform of weight two and level N , let p N be a prime at which f is congruent to an Eisenstein series and let V(f )denote the p-adic Tate module off. Beilinson constructed a class kappa f is an element ...
The Diffusion Equation Involving the Dunkl-Laplacian Operator in a Punctured Domain
The purpose of this paper is to establish solvability results for both direct and inverse problems associated with the diffusion equation involving the Dunkl-Laplacian operator in a punctured domain. We demonstrate the ...
LYUBEZNIK TABLE OF Sr AND CMr RINGS
We describe the shape of the Lyubeznik table of either rings in positive characteristic or Stanley-Reisner rings in any characteristic when they satisfy Serre's condition Sr or they are Cohen-Macaulay in a given codimension, ...
Fluctuation-driven plasticity allows for flexible rewiring of neuronal assemblies
The position of cells during development is constantly subject to noise, i.e. cell-level noise. We do not yet fully understand how cell-level noise coming from processes such as cell division or movement leads to morphological ...
On surjectivity in tensor triangular geometry
We prove that a jointly conservative family of geometric functors between rigidly-compactly generated tensor triangulated categories induces a surjective map on Balmer spectra. From this we deduce a fiberwise criterion for ...
Rectangulotopes
Rectangulations are decompositions of a square into finitely many axis-aligned rectangles. We describe realizations of (n - 1)- dimensional polytopes associated with two combinatorial families of rectangulations composed ...
On the Arnold Diffusion Mechanism in Medium Earth Orbit
Space debris mitigation guidelines represent the most effective method to preserve the circumterrestrial environment. Among them, end-of-life disposal solutions play a key role. In this regard, effective strategies should ...
A unified approach to self-improving property via K-functionals
In this paper we obtain new quantitative estimates that improve the classical inequalities: Poincar & eacute;-Ponce, Gaussian Sobolev, and John-Nirenberg. Our method is based on the K-functionals and allows one to derive ...
